As part of the UAH Distinguished Speakers Series in Mathematics 

Dr.  Yihong Du

School of Science and Technology

University of New England, Australia

Propagation, diffusion and free boundaries

This talk will discuss some of the mathematical theories on nonlinear partial differential equations motivated by the desire of providing better models for various propagation phenomena.

It will start by looking at the classical works of Fisher, Kolmogorov-Petrovskii-Piskunov and Aronson-Weinberger, and compare them with some recent results on models with free boundaries. Several new trends of research in this direction will be considered.

Dr. Yihong Du is a professor at the University of New England, Australia. He has made significant contributions to nonlinear elliptic and parabolic partial differential equations, with two books and more than 120 journal publications in the top rank journals such as Trans. Amer. Math. Soc., Arch. Ration. Mech. Anal., J. Differential equations, SIAM J Math. Anal.,  J. Func. Anal.,  Ann. Inst. H. Poincaré Anal. Non Linéaire., J. Math. Pures Appl. etc.  He is a pioneer in using free boundary problems to model propagation phenomena, a new direction of research in nonlinear PDEs classified as "research front" by Web of Science; 9 of his papers in this area are listed as "highly cited paper" in Web of Science. He has done extraordinary work on the convergence problems of semilinear parabolic equations and on mathematical analysis of population models. Dr. Du has been a plenary and invited speaker at many international conferences, prestigious workshops, and departmental colloquia around the world. 

Refreshments will be served at 11:00 a.m.